At the same time, said Trotter, "the data shows that women are falling back" and "women continue to lose jobs in the Obama economy."

Story continues below video.

Trotter cited figures from March showing that another 180,000 women joined the ranks of the unemployed.

"That brings the number of female active job seekers to 4.9 million," said Trotter. "Above that, there are 54.7 million women in this country who do not hold full-time jobs and are not even actively seeking the jobs because the economy is so dismal for them."

Trotter identified a key reason for the difficulty: "Obamacare, which is causing a huge cost on employers." She added: "It's crowding out the ability for employers to hire, specifically women."

Trotter said employers are caught between Obamacare's health-insurance coverage mandates and the scheduling flexibility that women want at work.

Overall, said Trotter, women are getting only about 39 percent of all new jobs in the U.S. economy.

"Women's participation rate in the labor market as a whole is 46.8 percent," she added. "So, women are not even getting their share of the newly created jobs."